Read the dictionary definition of fag. All definitions for this word.
1. finely ground tobacco wrapped in paper; for smoking
2. offensive term for a homosexual man
3. exhaust or get tired through overuse or great strain or stress
1. We wore ourselves out on this hike
4. work hard
1. She was digging away at her math homework
2. Lexicographers drudge all day long
5. act as a servant for older boys, in British public schools
See also:
Merriam-Webster definition of fag